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3 years ago

Factor the polynomial by its greatest common monomial factor 9b^8+24b^3

Mathematics

1 answer:

velikii [3]3 years ago

7 0

9b^8 + 24b^3

= 3b^3 ( 3b^5 + 8 )

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I've got two of these kinds of problems and no clue how to do them, help please!

Bogdan [553]

Hello,

$3x^3+2x^2-3x-2=0\\

3x^3-3x+2x^2-2=0\\


3x(x^2-1)+2(x^2-1)=0\\

(x^2-1)(3x+2)=0\\

(x-1)(x+1)(3x+2)=0\\

Sol=\{- \dfrac{2}{3}, -1,1 \}
$

4 0

4 years ago

Read 2 more answers

Which is the equation of the given line? (-10,-7) (3,-7)

Vladimir [108]

Answer: $y=-7$

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Find the slope with this formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Given the points (-10,-7) (3,-7), substitute values into the formula. Then:

$m=\frac{-7-(-7)}{-10-3}\\\\m=\frac{0}{-13}\\\\m=0$

Substitute the slope and any point into $y=mx+b$ and solve for "b":

$-7=0x+b\\b=-7$

Then, substituting "m" and "b" into the equation $y=mx+b$ , you get that the equation of this line is:

$y=0x-7$

$y=-7$

4 0

3 years ago

The diagram shows a sector of a circle radius 10cm. Find the perimeter of the sector, giving your answer correct to 1 decimal pl

qwelly [4]

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Anyway, I'll help you either way. A sector is a region of a circle between two radii. Let's assume the sector as:

$s=25\pi cm^2$

Then, we can find the central angle by the following equation:

$s=\frac{\theta}{360}\times\pi r^{2} \\ \\ r=10cm \\ \\ s=25\pi cm^2 \\ \\ \\ So: \\ \\ \frac{25\pi(360)}{10^2\pi}=\theta \\ \\ \theta = 90^{\circ}$

But:

$90^{\circ}=\frac{\pi}{2}$

Then:

$C:Perimeter \ of \ sector \\ \\ \\ C=\theta r \\ \\ C=\frac{\pi}{2}(10) \\ \\ C=5\pi cm \approx \boxed{15.7cm}$

6 0

4 years ago

Which one of these is the identity for addition?

Sedaia [141]

Answer:

Zero

Step-by-step explanation:

In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself

6 0

3 years ago

Ques

krek1111 [17]

Answer:

$1.68

Step-by-step explanation:

15.28 x .11=1.68

6 0

3 years ago